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Finding the Third Proportional to 194,084.44 and 422,340.75

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Solution

The third proportional to 194,084.44 and 422,340.75 is: 919,041.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,084.44 : 422,340.75 = 422,340.75 : x
  2. Step 2: Convert to fraction form
    194,084.44/422,340.75 = 422,340.75/x
  3. Step 3: Cross multiply
    194,084.44x = 422,340.75 × 422,340.75
  4. Step 4: Simplify right side
    194,084.44x = 178,371,709,110.56
  5. Step 5: Solve for x
    x = 178,371,709,110.56/194,084.44
  6. Step 6: Final answer
    x = 919,041.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.